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Simplifying 0.2b + 8 = 0.5b + 17 Reorder the terms: 8 + 0.2b = 0.5b + 17 Reorder the terms: 8 + 0.2b = 17 + 0.5b Solving 8 + 0.2b = 17 + 0.5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.5b' to each side of the equation. 8 + 0.2b + -0.5b = 17 + 0.5b + -0.5b Combine like terms: 0.2b + -0.5b = -0.3b 8 + -0.3b = 17 + 0.5b + -0.5b Combine like terms: 0.5b + -0.5b = 0.0 8 + -0.3b = 17 + 0.0 8 + -0.3b = 17 Add '-8' to each side of the equation. 8 + -8 + -0.3b = 17 + -8 Combine like terms: 8 + -8 = 0 0 + -0.3b = 17 + -8 -0.3b = 17 + -8 Combine like terms: 17 + -8 = 9 -0.3b = 9 Divide each side by '-0.3'. b = -30 Simplifying b = -30
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